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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2012 Volume 18, Number 2, Pages 108–113 (Mi timm812)

This article is cited in 3 papers

Regular asymptotics of a generalized solution of the stationary Navier–Stokes system

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: A regular asymptotic series is constructed for a generalized solution of the stationary system of Navier–Stokes equations in a bounded domain of three-dimensional space under a constraint on the generalized Reynolds number. A theorem on the approximation to any degree of accuracy of the exact solution of a homogeneous boundary value problem by partial sums of the series is proved.

Keywords: Navier–Stokes system, generalized solution, asymptotics.

UDC: 517.95

Received: 26.09.2011


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2013, 281, suppl. 1, S146–S151

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